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122210013321 = 321117371962551
BaseRepresentation
bin111000111010001001…
…0001101000010001001
3102200110000200220211200
41301310102031002021
54000241230411241
6132050440414413
711554322654634
oct1616422150211
9380400626750
10122210013321
1147913403910
121b827a77409
13b6a8013666
145cb4a6cc1b
1532a3eee4b6
hex1c7448d089

122210013321 has 48 divisors (see below), whose sum is σ = 209412148608. Its totient is φ = 67825728000.

The previous prime is 122210013269. The next prime is 122210013403. The reversal of 122210013321 is 123310012221.

122210013321 is a `hidden beast` number, since 122 + 210 + 0 + 1 + 332 + 1 = 666.

It is not a de Polignac number, because 122210013321 - 27 = 122210013193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122210013294 and 122210013303.

It is not an unprimeable number, because it can be changed into a prime (122210018321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919005 + ... + 1043546.

It is an arithmetic number, because the mean of its divisors is an integer number (4362753096).

Almost surely, 2122210013321 is an apocalyptic number.

122210013321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122210013321 is a deficient number, since it is larger than the sum of its proper divisors (87202135287).

122210013321 is a wasteful number, since it uses less digits than its factorization.

122210013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962622 (or 1962619 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122210013321 its reverse (123310012221), we get a palindrome (245520025542).

The spelling of 122210013321 in words is "one hundred twenty-two billion, two hundred ten million, thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 561 629 1221 1683 1887 3663 5661 6919 20757 62271 1962551 5887653 17662959 21588061 33363367 64764183 72614387 100090101 194292549 217843161 300270303 366997037 653529483 798758257 1100991111 1234444579 2396274771 3302973333 3703333737 7188824313 11110001211 13578890369 40736671107 122210013321